000 03684nam a22005295i 4500
999 _c11948
_d11948
001 978-3-319-55212-5
003 DE-He213
005 20211125135432.0
008 170429s2017 gw | s |||| 0|eng d
020 _a9783319552125
040 _cAIKTC-KRRC
041 _aENG
072 7 _aTGMD
_2bicssc
072 7 _aTEC009070
_2bisacsh
072 7 _aTGMD
_2thema
082 0 4 _a620.1
_223
100 1 _aEpstein, Marcelo.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aPartial Differential Equations
_h[electronic resource] :
_bMathematical Techniques for Engineers /
250 _a1st ed. 2017.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2017.
300 _aXIII, 255 p. 66 illus., 9 illus. in color.
_bCard Paper
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aMathematical Engineering,
_x2192-4732
520 _aThis monograph presents a graduate-level treatment of partial differential equations (PDEs) for engineers. The book begins with a review of the geometrical interpretation of systems of ODEs, the appearance of PDEs in engineering is motivated by the general form of balance laws in continuum physics. Four chapters are devoted to a detailed treatment of the single first-order PDE, including shock waves and genuinely non-linear models, with applications to traffic design and gas dynamics. The rest of the book deals with second-order equations. In the treatment of hyperbolic equations, geometric arguments are used whenever possible and the analogy with discrete vibrating systems is emphasized. The diffusion and potential equations afford the opportunity of dealing with questions of uniqueness and continuous dependence on the data, the Fourier integral, generalized functions (distributions), Duhamel's principle, Green's functions and Dirichlet and Neumann problems. The target audience primarily comprises graduate students in engineering, but the book may also be beneficial for lecturers, and research experts both in academia in industry.
650 0 _aComputer Engineering
_94622
653 _aMathematical models.
653 _aTheoretical and Applied Mechanics.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783319552118
776 0 8 _iPrinted edition:
_z9783319552132
776 0 8 _iPrinted edition:
_z9783319855974
830 0 _aMathematical Engineering,
_x2192-4732
856 4 0 _uhttps://doi.org/10.1007/978-3-319-55212-5
_zClick here to access eBook in Springer Nature platform. (Within Campus only.)
942 _cEBOOKS
_2ddc